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Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one wall in the plan is 17 inches. The length of the diagonal of the floor of the room in the plan is approximately 18.79 inches.

Is the room in the shape of a square? Explain how you determined your answer. Show all your work.

Respuesta :

Let the room be square (look the attachment)

So

  • Side=a=17in
  • Diagonal=d=18.79in

So we know that

[tex]\\ \tt\hookrightarrow d=a\sqrt{2}[/tex]

[tex]\\ \tt\hookrightarrow 18.79=17(1.4)[/tex]

[tex]\\ \tt\hookrightarrow 18.79\neq 23.8[/tex]

No it's not a square

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